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Finding the Third Proportional to 2,462,692,069 and 3,816,494,655.50

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Solution

The third proportional to 2,462,692,069 and 3,816,494,655.50 is: 5,914,515,922.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,462,692,069 : 3,816,494,655.50 = 3,816,494,655.50 : x
  2. Step 2: Convert to fraction form
    2,462,692,069/3,816,494,655.50 = 3,816,494,655.50/x
  3. Step 3: Cross multiply
    2,462,692,069x = 3,816,494,655.50 × 3,816,494,655.50
  4. Step 4: Simplify right side
    2,462,692,069x = 14,565,631,455,460,063,232
  5. Step 5: Solve for x
    x = 14,565,631,455,460,063,232/2,462,692,069
  6. Step 6: Final answer
    x = 5,914,515,922.96

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.